"It's outrageous that eight years after a cowboy culture on Wall Street, we are still seeing powerful bankers playing fast and loose with the law," she said in the speech.

Along with a high pressure sales culture, Wells Fargo has also been accused of retaliating against whistleblowers. Former Wells Fargo workers told CNNMoney they were fired after calling the company's ethics line about illegal sales tactics.

Clinton's bashing of Wells Fargo stands in stark contrast with Donald Trump. While a top economic adviser to Trump called the Wells Fargo scandal "just stupid, greedy behavior," the candidate himself has been silent since the news broke on September 8. That's despite scathing criticism of Wells Fargo by both Republicans and Democrats in Congress at two separate hearings into the scandal.

Erasing the fine print that handcuffs consumers: Many wronged Wells Fargo customers find out they can't sue the bank. That's because they sign documents with fine print that forces them into closed-door arbitration rather than give them their day in court.

Clinton said she wants to curb the increasingly-popular use of forced "arbitration clauses" in the fine print of contracts. These clauses help protect big companies like Wells Fargo from legal action.

Many Wells Fargo customers learned the hard way that they effectively signed away their rights when they signed up for an account. According to the L.A. Times, Wells Fargo has successfully blocked lawsuits from customers with fake accounts by pointing to the fine print requiring disputes be settled in arbitration.

Clinton's campaign said she will call on Congress to give the FTC, FCC, Labor Department and other federal agencies the power to restrict the use of arbitration clauses. The Democrat will also order agencies to use their existing authority to prevent overuse of these clauses.